8395073680 has 80 divisors (see below), whose sum is σ = 22326785280. Its totient is φ = 2875746816.

The previous prime is 8395073651. The next prime is 8395073681. The reversal of 8395073680 is 863705938.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (8395073681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 686661 + ... + 698779.

It is an arithmetic number, because the mean of its divisors is an integer number (279084816).

Almost surely, 2^8395073680 is an apocalyptic number.

8395073680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8395073680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11163392640).

8395073680 is an abundant number, since it is smaller than the sum of its proper divisors (13931711600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8395073680 is a wasteful number, since it uses less digits than its factorization.

8395073680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13376 (or 13370 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The square root of 8395073680 is about 91624.6346786714. The cubic root of 8395073680 is about 2032.3952475304.

The spelling of 8395073680 in words is "eight billion, three hundred ninety-five million, seventy-three thousand, six hundred eighty".